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Finding the Third Proportional to 413,856 and 907,200

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Solution

The third proportional to 413,856 and 907,200 is: 1,988,643.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,856 : 907,200 = 907,200 : x
  2. Step 2: Convert to fraction form
    413,856/907,200 = 907,200/x
  3. Step 3: Cross multiply
    413,856x = 907,200 × 907,200
  4. Step 4: Simplify right side
    413,856x = 823,011,840,000
  5. Step 5: Solve for x
    x = 823,011,840,000/413,856
  6. Step 6: Final answer
    x = 1,988,643.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.